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Dear people of the wolfram community, I'm reproducing results from calculations done in published physics papers. The paper states: Sqrt[2] EllipticE[1/Sqrt[2]] - EllipticK[1/Sqrt[2]]/Sqrt[2] = Sqrt[2] Pi^(3/2) / Gamma[1/4]^2 is approximately:...
Hi kind people of the Wolfram Community, I'm having trouble solving this integral: ![Image of the Intregral][1] [1]: /c/portal/getImageAttachment?filename=Integral.png&userId=271642 . Firstly I do not know how to do this in one calculation, due...
Hi guys, Could you help me out? Why can't Mathematica solve this integral in definite form? It's just stuck computing. Integrate[(1/Sqrt[(x - 1) (x^2 - a^2)]) - (1/ Sqrt[(x + 1) (x^2 - a^2)]), {x, a, b}] ->And it stuck Integrate[(1/Sqrt[(x -...